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Finding the Fourth Proportional to 264,098.29, 364,463.89 and 149,374.69

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Solution

The fourth proportional to 264,098.29, 364,463.89 and 149,374.69 is: 206,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,098.29 : 364,463.89 = 149,374.69 : x
  2. Step 2: Convert to fraction form
    264,098.29/364,463.89 = 149,374.69/x
  3. Step 3: Cross multiply
    264,098.29x = 364,463.89 × 149,374.69
  4. Step 4: Simplify right side
    264,098.29x = 54,441,680,584.94
  5. Step 5: Solve for x
    x = 54,441,680,584.94/264,098.29
  6. Step 6: Final answer
    x = 206,141.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.